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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi +5xj + 2yk across the surface S: r(r,0) = r cos 0i+r sin 0j + (16-r²) k, 0≤r≤4, 0≤0≤2 in the direction away from
the origin.
The flux of the curl of the field F is
(Type an exact answer, using as needed.)

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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 5zi + xj + 2yk across the surface S: r(r,0) =r cos Oi +r sin 0j + (25 -) k, 0srs5, 0s0s2n in the direction away from the origin. The flux of the curl of the field F is (Type an exact answer, using n as needed.)
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